What is the Greatest Common Factor of 47719 and 47736?

Greatest common factor (GCF) of 47719 and 47736 is 17.

GCF(47719,47736) = 17

We will now calculate the prime factors of 47719 and 47736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47719 and 47736.

How to find the GCF of 47719 and 47736?

We will first find the prime factorization of 47719 and 47736. After we will calculate the factors of 47719 and 47736 and find the biggest common factor number .

Step-1: Prime Factorization of 47719

Prime factors of 47719 are 7, 17, 401. Prime factorization of 47719 in exponential form is:

47719 = 7¹ × 17¹ × 401¹

Step-2: Prime Factorization of 47736

Prime factors of 47736 are 2, 3, 13, 17. Prime factorization of 47736 in exponential form is:

47736 = 2³ × 3³ × 13¹ × 17¹

Step-3: Factors of 47719

List of positive integer factors of 47719 that divides 47719 without a remainder.

1, 7, 17, 119, 401, 2807, 6817

Step-4: Factors of 47736

List of positive integer factors of 47736 that divides 47719 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 17, 18, 24, 26, 27, 34, 36, 39, 51, 52, 54, 68, 72, 78, 102, 104, 108, 117, 136, 153, 156, 204, 216, 221, 234, 306, 312, 351, 408, 442, 459, 468, 612, 663, 702, 884, 918, 936, 1224, 1326, 1404, 1768, 1836, 1989, 2652, 2808, 3672, 3978, 5304, 5967, 7956, 11934, 15912, 23868

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47719 and 47736. The biggest common factor number is the GCF number.
So the greatest common factor 47719 and 47736 is 17.

Also check out the Least Common Multiple of 47719 and 47736